A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 10-cm-diameter pipe at a rate of 0.04 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.
Answer:
50.93 m/s
199.5 kW
Explanation:
From the question, the nozzle exit diameter = 5 cm, Radius= diameter/2= 5cm/2= 2.5cm. we can convert it to metre for unit consistency= (2.5×0.01)=
0.025m
We can calculate the The cross sectional area of the nozzle as
A= πr^2
A= π ×0.025^2
= 1.9635 ×10^- ³ m²
From the question, the water is moving through the pipe at a rate of 0.1 m /s , then for the water to move through it at a seconds, it must move at
(0.1 / 1.9635 ×10^- ³ m²)
= 50.93 m/s
During the Operation of the pump, the Dynamic energy of the water= potential energy provided there is no loss during the Operation
mgh = 1/2mv²
We can make "h" subject of the formula, which is the height of required head of water
h = (1/2mv²)/mg
h= v² / 2g
h = 50.93² / (2 ×9.81)
h = 132.21m
From the question;
The total irreversible head loss of the system = 3 m,
the given position of nozzle = 3 m
the total head the pump needed=(The total irreversible head loss of the system + the position of the nozzle + required head of water )
=(3 + 3 + 132.21m)
=138.21m
mass of water pumped in a seconds can be calculated since we know that mass is a product of volume and density
Volume= 0.1m³
Density of sea water=1030 kg/m
(0.1 m^3× 1030)
= 103kg
We can calculate the Potential enegry, which is = mgh
= (103 ×9.81 × 138.21)
= 139651.5 Watts
= 139.65kW
To determine required shaft power input to the pump and the water discharge velocity
Energy= efficiency × power
But we are given efficiency of 70 percent, then
139651.5 Watts = 0.7P
=199502.18 Watts
P=199.5 kW
Therefore, the required shaft power input to the pump and the water discharge velocity is 199.5 kW
What two things does force depend on
Answer:
When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance or (acceleration)
Explanation:
What type of force is magnetic force? *
Strong Nuclear force
Non-contact force
Contact force. Weak Nuclear force
Answer:
non contant force
Explanation:
bcoz they push or pull on object without touching them
Answer:
energy
Explanation:
These the flow of electrons (the current) and where some of the electrons' energy gets converted into heat. (Lessons 5.01-5.03) electric currents Insulators Resistors Conductors
Answer: The answer is resistors
Explanation: I just took the unit test and it was correct
Why doesn't the skateboarder roll as high each time she goes up the ramp
Answer:
The skater has mechanical/gravitational potential energy at the two meter mark. The skater gets to two meters high on the other end of the ramp. In terms of the conservation of energy, the skater will never go higher than two meter on the other end of the the ramp because energy can be neither created nor destroyed.
Explanation:
I hoping it is right!!!∪∧∪ ∪ω∪
Answer:
the reason it wont go higher is because some of the energy converts into thermal energy
Explanation:
I'm the energy master
a car travels 200km in 3.0 hours. Determine the average velocity of the car
Answer:
66.67 km/hrExplanation:
The average velocity of the car can be found by using the formula
[tex]a = \frac{d}{t } \\ [/tex]
d is the distance
t is the time taken
From the question we have
[tex]a = \frac{200}{3} \\ = 66.66666...[/tex]
We have the final answer as
66.67 km/hrHope this helps you
a 50.0kg skydiver experience a 740newton air resistance force determine her acceleration please help asap
Answer:
a = - 5 [m/s²].
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
F = resultant force [N] (units of Newtons)
m = mass = 50 [kg]
a = acceleration = 9.81 [m/s²]
For this particular problem, the only forces acting are the force of gravity acting down with negative sign, while the force of air opposes the fall, in this way it is positive.
[tex]f_{air}-F_{grav}=-m*a[/tex]
As the movement is pointing down the acceleration will be taken as negative.
[tex]740-(50*9.81)=-50*a\\740-490.5 = -50*a\\249.5 = -50*a\\a = - 5 [m/s^{2} ][/tex]
We should note that in this case, the acceleration has a negative sign, this means that the force of the air makes the skydiver move upwards
Which of the following best describes refraction?
Answer:
The medium sound waves
Explanation:
change in the direction of a wave passing from one medium to another.
Particles in which state of matter are the most likely to interact with each other to cause a chemical reaction?
why are incandescent lights fo inefficient?
Answer:
Explanation:
Incandescent bulbs are extremely inefficient because 90% of the energy is wasted as heat, with only 10% being converted to visible light. This gives incandescent bulbs a luminous efficiency rating of around 2%. Ultimately, incandescent bulbs perform better as heaters than as light sources.
A 20 kg mass is hanging on one side of a pulley and a 5 kg mass is hanging on the other. Determine the acceleration of each mass.
Answer:
i believe it's 7
Explanation:
A supply plane drops a package to the ground for stranded campers below. After falling for 8.14 seconds, the package will have a downward velocity of 80.79 m/s. How high was the plane when it dropped the package?
Answer:
333 m
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 0 m/s.
Time (t) = 8.14 s.
Final velocity (v) = 80.79 m/s.
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) =?
v² = u² + 2gh
80.79² = 0 + (2 × 9.8 × h)
6527.0241 = 0 + 19.6h
6527.0241 = 19.6h
Divide both side by 19.6
h = 6527.0241 / 19.6
h = 333 m
Thus, the plane was at a height of 333 m when the package was dropped.
A rock is dropped into a canyon that is 0.3 km deep. Determine the time it takes the rock to hit the bottom of the canyon?
Answer:
rock of mass m is dropped to the ground from a height h. A second rock, with mass 2m, is dropped from the same height. When the second rock strikes the ground, what is its kinetic energy? (a) Twice that of the first rock, (b) four times that of the first rock, (c) same as that of the first rock, (d) half as much as that of the first rock, (e) impossible to determine.
If a rock is dropped into a canyon that is 0.3 km deep, then the time taken by the rock to hit the bottom of the canyon would be 7.82 seconds.
What are the three equations of motion?There are three equations of motion given by Newton
v = u + at
S = ut + 1/2 × a × t²
v² - u² = 2 × a × s
Keep in mind that these calculations only apply to uniform acceleration.
As given in the problem, if a rock is dropped into a canyon that is 0.3 km deep.
By using the second equation of motion given by Newton,
S = ut + 1/2at²
300 = 0 + 0.5 × 9.8 × t²
t² = 300 / 4.9
t = 7.82 seconds
Thus, the time taken by the rock to hit the bottom of the canyon would be 7.82 seconds.
To learn more about equations of motion here, refer to the link given below ;
brainly.com/question/5955789
#SPJ2
D. Ampere
A screw of length 5 cm enters totally into a wooden block after 25 turns. What is the pitch of the
screw?
A. 0.1 cm
B. 0.2 cm
C. 0.4 cm
D. 0.5 cm
Answer:
0.5
Explanation:
u must simplyfiy
I’ll give BRAINLIEST to the person that answer this questions (and if they right) :
People who are REACTIVE are like _____ , and PROACTIVE people are like ____.
A. A bottle of water and a bottle of soda
B.A bottle of soda and a bottle of water
C.None of the above
D.All of the above
PROACTIVE people make their choices based on ____.
A.Reasoning
B.Anger
C.Feelings
D.what others say
What is the opposite of being REACTIVE?
A.Being proactive
B.Being inactive
C.Being semi-active
D.All of above
Habit 1:Be proactive means:
A.thinking everyone can win
B.Take responsibility for your own life
C.Become a professional athlete
D.Doing something right away
1: C
2: C
3: A
4: B
there you go
1. Four identical elephants are at different heights. If your physics teacher
asked you which of the following elephants has the greatest amount of
potential energy, what will be your answer? And why?
Helpppp:(((((
This equation shows the reaction that occurs when charcoal burns. What type
of reaction is it?
Explanation:
Exothermic
Because here Energy is released.
Answer:
c
Explanation:
hand pushes on table with force of 35 N forward. whats the reaction force
Answer:
i think it is newtons third law of motion but i'm not sure sorry.i just really need point i don't know the answer.
Explanation:
Identify the type of motion that occurs when a body moves around its own center of mass.
circular
revolution
rotation
resolution
Answer:
circular
Explanation:
Plz di all plz i will give brainest and thanks to best answer do it right
Answer:
B
hdhdududydysgd
hdhdgdtdtdt
gsgdgdggd
Explanation:
I TIHNK IS THE ANSWER
Answer:
C
Explanation:
Wave length is - - - - >
Bsjejwakknsbsbehebebbdbdbs
In interactions of action-reaction pairs involving Earth and everyday objects, the effect on Earth's motion is often negligible because
Answer:
...The earth has a great mass. Since mass and inertia are directly proportional to each other, the larger the mass of the object, the more inertia that it has. Inertia is the objects resistance to a change in motion.
Explanation:
HEELLLLLPPPPPPPPPPPP MEEEEEEEEEE!!!!!!!!!!!!
Which statement best describes the thermosphere?
The thermosphere sits directly below the troposphere.
Lighter gases such as nitrogen and oxygen rise to the top of the thermosphere.
Heavier gases such as hydrogen and helium stay at the bottom of the thermosphere.
The atmosphere is so thin that gas molecules rarely contact each other.
Answer:
I think the second one
Explanation:
its the only one that makes since tell me if I'm wrong
Answer:
the answer is "The atmosphere is so thin that gas molecules rarely contact each other."
Explanation: just took the semester test
Why doesn’t the force you exert when sitting on a chair cause the chair to move?
a. The floor exerts a balancing force on the chair.
b. The floor exerts too much force on the chair
c. The floor exerts an unbalancing force on the chair.
d. The floor exerts no force on the chair.
Answer:
the answer is A
Explanation:
41. What effects the efficiency of a pulley?
a. the type of rope or cable
b. the way the wheel turns
c. the length of the rope
d. how big the wheel is
e. only a and be
f. all of the above
Answer:
e. only a and b
A 10 N force and an 18 N force act in the same direction on an object. What is the net force on the object?
Answer:
28 N
Explanation:
From the question given above, we were told that 10 N force and 18 N force act in the same direction on the object.
The net force acting on the object can be obtained by simply adding both forces together since they both act on the object in the same direction. This is illustrated below:
Force 1 (F₁) = 10 N
Force 2 (F₂) = 18 N
Net force (Fₙ) =?
Fₙ = F₁ + F₂ (since they both act in the same direction)
Fₙ = 10 + 18
Fₙ = 28 N
Therefore, the net force acting on the object is 28 N.
Which of the following is an example of light energy being changed to chemical energy?
A flashlight with rechargeable batteries
A solar panel that charges a battery
Food that is eaten to provide mechanical energy
A switch that flips up to turn on a light
Answer:
solar panels that charges battery
Who might be suffering from dissociative fugue?
Answer:
More common in adults.
Explanation:
What do we know about the relative strength of the electric field around each object?
Answer:
A charged object in an electric field experiences a force due to the field. The electric field strength, E, at a point in the field is defined as the force per unit charge on a positive test charge placed at that point.
Explanation:
12. How many grams of beryllium are needed to produce 36.0 g of hydrogen? (Assume an excess of water.)
Be(s) + 2H, O() → Be(OH)2 (aq) +H,(g)
a
4.00 g
b. 36.0 g
c. 162 g
d 324 g
Answer:
Answer is: 162 g of beryllium.
Chemical reaction: Be + 2H₂O → Be(OH)₂ + H₂.
m(H₂) = 36,0 g.
m(Be) = ?
n(H₂) = m(H₂) ÷ M(H₂)
n(H₂) = 36,0 g ÷ 2 g/mol = 18 mol.
from reaction: n(Be) : n(H₂) = 1 : 1.
n(Be) = n(H₂) = 18 mol.
m(Be) = n(Be) · M(Be).
n(Be) = 18 mol · 9 g/mol = 162 g.
Answer:
Answer is: 162 g of beryllium.
Chemical reaction: Be + 2H₂O → Be(OH)₂ + H₂.
m(H₂) = 36,0 g.
m(Be) = ?
n(H₂) = m(H₂) ÷ M(H₂)
n(H₂) = 36,0 g ÷ 2 g/mol = 18 mol.
from reaction: n(Be) : n(H₂) = 1 : 1.
n(Be) = n(H₂) = 18 mol.
m(Be) = n(Be) · M(Be).
n(Be) = 18 mol · 9 g/mol = 162 g.
HELP ASAP TIMER
Three trains are all are moving along a track with the same speed and slam on their brakes. If all three trains have identical coefficients of kinetic friction with the rail surface, which train travels the longest distance to come to a stop?
a
This cannot be determined, without knowing the normal force on the train by the rail.
b
The most massive train.
c
They all travel the same distance in stopping.
d
The least massive train.
Answer:
the more massive train i think
Explanation:
more mass means kinda more energy so it will take it longer to slow since it is larger